Codebook for multiple user multiple input multiple output system and communication device using the codebook

ABSTRACT

Disclosed are a Multiple User Multiple Input Multiple Output (MU-MIMO) codebook design method, and a communication device using the codebook. A MU-MIMO codebook design method includes analyzing beam patterns of candidate vectors included in a predetermined candidate codebook, and eliminating at least one of the candidate vectors based on the beam patterns of the candidate vectors to generate the MU-MIMO codebook for a MU-MIMO system being comprised of the remaining vectors.

CROSS-REFERENCE TO RELATED APPLICATIONS

This application claims the benefit under 35 U.S.C. §119(a) of ChinesePatent Application No. 200710186649.7, filed on Nov. 21, 2007, in theChinese Intellectual Property Office, and of Korean Patent ApplicationNo. 10-2008-00536987, filed on Jun. 9, 2008, in the Korean IntellectualProperty Office, the entire disclosures of which are incorporated hereinby reference.

TECHNICAL FIELD

The following description relates to a method of designing a codebookand a system using the same, and more particularly, a Multiple-UserMultiple-Input Multiple-Output (MU-MIMO) codebook design method and acommunication system and device using the same.

BACKGROUND

Currently, many researches are being conducted regarding technologies toprovide various types of multimedia services including voice servicesand to support high quality and high speed data transmission in awireless communication environment. For example, technologies associatedwith a Multiple-Input Multiple-Output (MIMO) communication system usingmultiple channels are in rapid development.

In general, a MIMO communication system utilizes a base station, and maybe classified into a Multiple-User (MU) MIMO system comprising aplurality of users and a single base station, and a Single-User (SU)MIMO system comprising a single user and a single base station.

In a MIMO communication system, a base station and terminals may use acodebook. A certain space may be quantized into a plurality of vectors.The plurality of vectors generated by quantizing the particular spacemay be stored in the base station and the terminals as the codebook.

For example, each of the terminals may select any one matrix or vectorfrom the plurality of matrixes or vectors included in the codebook,based on a channel that is formed between the base station and each ofthe terminals. The base station may also recognize the selected matrixor vector based on the codebook. The selected matrix or vector may beused for generating a transmission signal.

A number of studies have been made for a codebook used in a SU-MIMOsystem. However, there is need for a further study of a codebook used ina MU-MIMO system. For example, in a case where a cell of a base stationincludes a plurality of sectors, there is a need for an optimizedcodebook for use in a MU-MIMO system.

SUMMARY

According to an aspect, a Multiple-User Multiple-Input Multiple-Output(MU-MIMO) codebook design method comprises analyzing beam patterns ofcandidate vectors included in a predetermined candidate codebook, andeliminating at least one of the candidate vectors based on the beampatterns of the candidate vectors to generate the MU-MIMO codebook for aMU-MIMO system being comprised of the remaining vectors.

The method may further comprise optimizing the MU-MIMO codebook based oninterferences existed between the remaining vectors.

According to another aspect, a method for operating a base stationcomprises storing a part or all of vectors included in [u₁u₂ u₄ u₅ u₆ u₇u₈] as a MU-MIMO codebook, and pre-coding at least one data stream usingthe stored MU-MIMO codebook, wherein

${u_{1} = {\frac{1}{2}\begin{matrix}\lbrack 1  & 1 & 1 &  1 \rbrack^{T}\end{matrix}}},{u_{2} = {\frac{1}{2}\begin{matrix}\lbrack 1  & j & {- 1} &  {- j} \rbrack^{T}\end{matrix}}},{u_{4} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {- j} & {- 1} & { j \rbrack^{T},}\end{matrix}}}$ $u_{5} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{j\frac{\pi}{4}} & j & { {\mathbb{e}}^{j\frac{3\;\pi}{4}} \rbrack^{T},}\end{matrix}}$ $u_{6} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{j\frac{3\pi}{4}} & {- j} & { {\mathbb{e}}^{j\frac{\;\pi}{4}} \rbrack^{T},}\end{matrix}}$ $u_{7} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{j\frac{5\pi}{4}} & j & { {\mathbb{e}}^{{- j}\frac{\pi}{4}} \rbrack^{T},}\end{matrix}}$ and $u_{8} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{{- j}\frac{\pi}{4}} & {- j} & { {\mathbb{e}}^{j\frac{5\pi}{4}} \rbrack^{T}.}\end{matrix}}$

According to still another aspect, a method for operating a base stationcomprises storing a part or all of vectors included in [u₁₄ u₁₀ u₆ u₂u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u ₄ u₅ u₁₁] or [u₁₀ u₆ u₂ u₁₃ u₉ u₅ u₁ u₁₆ u₁₂u₈ u₄ u₁₅ u₁₁ u₇] as a MU-MIMO codebook, and pre-coding at least onedata stream using the stored MU-MIMO codebook, whereinu₁=[0.5 0.5 0.5 0.5]^(T),u ₂=[0.5 0.5j−0.5−0.5j]^(T),u ₄=[0.5−0.5j−0.5 0.5j] ^(T),u ₅[0.5 0.4619+0.1913j 0.3536+0.3536j 0.1913+0.4619j] ^(T),u ₆=[0.5−0.1913+0.4619j−0.3536−0.3536j 0.4619−0.1913j] ^(T),u ₇=[0.5−0.4619−0.1913j 0.3536+0.3536j−0.1913−0.4619j] ^(T),u ₈=[0.5 0.1913−0.4619j−0.3536−0.3536j−0.4619+0.1913j] ^(T),u ₉=[0.5 0.3536+0.3536j 0.5j−0.3536+0.3536j] ^(T),u ₁₀=[0.5−0.3536+0.3536j−0.5j 0.3536+0.3536j] ^(T),u ₁₁=[0.5−0.3536−0.3536j 0.5j 0.3536−0.3536j] ^(T),u ₁₂=[0.5 0.3536−0.3536j−0.5j−0.3536−0.3536j] ^(T),u ₁₃=[05 0.1913+0.4619j−0.3536+0.3536j−0.4619−0.1913j] ^(T),u ₁₄=[0.5−0.4619+0.1913j 0.3536−0.3536j−0.1913+0.4619j] ^(T),u ₁₅[0.5−0.1913−0.4619j−0.3536+0.3536j 0.4619+0.1913j] ^(T), andu ₁₆=[0.5 0.4619−0.1913j 0.3536−0.3536j 0.1913−0.4619j] ^(T).

According to yet another aspect, a method for operating a base stationcomprises storing a part or all of vectors included in [u₂ u₁₃ u₉ u₅ u₁u₁₆ u₁₂ u₈] or [u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u₄] as a MU-MIMO codebook, andpre-coding at least one data stream using the stored MU-MIMO codebook,whereinu₁=[0.5 0.5 0.5 0.5]^(T),u ₂=[0.5 0.5j−0.5−0.5j] ^(T),u ₄=[0.5−0.5j−0.5 0.5j] ^(T),u ₅=[0.5 0.4619+0.1913j 0.3536+0.3536j 0.1913+0.4619j] ^(T),u ₈=[0.5 0.1913−0.4619j−0.3536−0.3536j−0.4619+0.1913j] ^(T),u ₉=[0.5 0.3536+0.3536j 0.5j−0.3536+0.3536j] ^(T),u ₁₂=[0.5 0.3536−0.3536j−0.5j−0.3536−0.3536j] ^(T),u ₁₃=[0.5 0.1913+0.4619j−0.3536+0.3536j−0.4619−0.1913j] ^(T), andu ₁₆=[0.5 0.4619−0.1913j 0.3536−0.3536j 0.1913−0.4619j] ^(T).

According to yet another aspect, a method for operating a terminalcomprises storing a part or all of vectors included in [u₁ u₂ u₄ u₅ u₆u₇ u₈] as a MU-MIMO codebook, and feeding-back, to a base station,information related with at least one vector from among vectors includedin the stored MU-MIMO codebook, wherein

${u_{1} = {\frac{1}{2}\begin{matrix}\lbrack 1  & 1 & 1 &  1 \rbrack^{T}\end{matrix}}},{u_{2} = {\frac{1}{2}\begin{matrix}\lbrack 1  & j & {- 1} &  {- j} \rbrack^{T}\end{matrix}}},{u_{4} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {- j} & {- 1} & { j \rbrack^{T},}\end{matrix}}}$ $u_{5} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{j\frac{\pi}{4}} & j & { {\mathbb{e}}^{j\frac{3\;\pi}{4}} \rbrack^{T},}\end{matrix}}$ $u_{6} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{j\frac{3\pi}{4}} & {- j} & { {\mathbb{e}}^{j\frac{\;\pi}{4}} \rbrack^{T},}\end{matrix}}$ $u_{7} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{j\frac{5\pi}{4}} & j & { {\mathbb{e}}^{{- j}\frac{\pi}{4}} \rbrack^{T},}\end{matrix}}$ and $u_{8} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{{- j}\frac{\pi}{4}} & {- j} & { {\mathbb{e}}^{j\frac{5\pi}{4}} \rbrack^{T}.}\end{matrix}}$

According to yet another aspect, a method for operating a terminalcomprises storing a part or all of vectors included in [u₂ u₅ u₁ u₈] or[u₅ u₁ u₈ u₄] as a MU-MIMO codebook, and feeding-back, to a basestation, information related with at least one vector from among vectorsincluded in the stored MU-MIMO codebook, wherein

${u_{1} = {\frac{1}{2}\begin{matrix}\lbrack 1  & 1 & 1 &  1 \rbrack^{T}\end{matrix}}},{u_{2} = {\frac{1}{2}\begin{matrix}\lbrack 1  & j & {- 1} &  {- j} \rbrack^{T}\end{matrix}}},{u_{4} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {- j} & {- 1} & { j \rbrack^{T},}\end{matrix}}}$ $u_{5} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{j\frac{\pi}{4}} & j & { {\mathbb{e}}^{j\frac{3\;\pi}{4}} \rbrack^{T},}\end{matrix}}$ and $u_{8} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{{- j}\frac{\pi}{4}} & {- j} & { {\mathbb{e}}^{j\frac{5\pi}{4}} \rbrack^{T}.}\end{matrix}}$

According to yet another aspect, a method for operating a terminalcomprises storing a part or all of vectors included in [u₁₄ u₁₀ u₆ u₂u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u₄ u₁₅ u₁₁] or [u₁₀ u₆ u₂ u₁₃ u₉ u₅ u₁ u₁₆ u₁₂u₈ u₄ u₁₅ u₁₁ u₇] as a MU-MIMO codebook, and feeding-back, to a basestation, information related with at least one vector from among vectorsincluded in the stored MU-MIMO codebook, whereinu₁[0.5 0.5 0.5 0.5]^(T),u ₂=[0.5 0.5j−0.5 0.5j] ^(T),u ₄=[0.5−0.5j−0.5 0.5j] ^(T),u ₅=[0.5 0.4619+0.1913j 0.3536+0.3536j 0.1913+0.4619j] ^(T),u ₇=[0.5−0.4619−0.1913j 0.3536+0.3536j−0.1913−0.4619j] ^(T),u ₈=[0.5 0.1913−0.4619j−0.3536−0.3536j−0.4619+0.1913j] ^(T),u ₉=[0.5 0.3536+0.3536j 0.5j−0.3536+0.3536j] ^(T),u ₁₀=[0.5−0.3536+0.3536j−0.5j 0.3536+0.3536j] ^(T),u ₁₁=[0.5−0.3536−0.3536j 0.5j 0.3536−0.3536j] ^(T),u ₁₂=[0.5 0.3536−0.3536j−0.5j−0.3536−0.3536j] ^(T),u ₁₃=[0.5 0.1913+0.4619j−0.3536+0.3536j−0.4619−0.1913j] ^(T),u ₁₄=[0.5−0.4619+0.1913j 0.3536−0.3536j−0.1913+0.4619j] ^(T),u ₁₅=[0.5−0.1913−0.4619j−0.3536+0.3536j 0.4619+0.1913j] ^(T), andu ₁₆=[0.5 0.4619−0.1913j 0.3536−0.3536j 0.1913−0.4619j] ^(T).

According to yet another aspect, a method for operating a terminalcomprises storing a part or all of vectors included in [u₂ u₁₃ u₉ u₅ u₁u₁₆ u₁₂ u₈] or [u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u₄] as a MI-MIMO codebook, andfeeding-back, to a base station, information related with at least onevector from among vectors included in the stored MU-MIMO codebook,whereinu₁[0.5 0.5 0.5 0.5]^(T),u ₂=[0.5 0.5j−0.5−0.5j] ^(T),u ₄=[0.5−0.5j−0.5 0.5j] ^(T),u ₅=[0.5 0.4619+0.1913j 0.3536+0.3536j 0.1913+0.4619j] ^(T),u ₈[0.5 0.1913−0.4619j−0.3536−0.3536j−0.4619+0.1913j] ^(T),u ₉=[0.5 0.3536+0.3536j 0.5j−0.3536+0.3536j] ^(T),u ₂=[0.5 0.3536−0.3536j−0.5j−0.3536−0.3536j] ^(T),u ₁₃=[0.5 0.1913+0.4619j−0.3536+0.3536j−0.4619−0.1913j] ^(T), andu ₁₆=[0.5 0.4619−0.1913j 0.3536−0.3536j 0.1913−0.4619j] ^(T).

Other features will become apparent to those skilled in the art from thefollowing detailed description, which, taken in conjunction with theattached drawings, discloses exemplary embodiments of the invention.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a diagram illustrating a Multiple-Users Multiple-InputMultiple-Output (MU-MIMO) system according to an exemplary embodiment.

FIG. 2 is an operation flowchart illustrating a MU-MIMO codebook designmethod according to an exemplary embodiment.

FIG. 3 is a diagram illustrating beam patterns of u₁, u₂, u₃, u₄, u₅,u₆, u₇, u₈ included in a codebook defined in 3^(rd) GenerationPartnership Project Long Term Evolution (3GPP LTE).

FIG. 4 is a diagram illustrating beam patterns of u₁, u₂, u₃, u₄, u₅,u₆, u₇, u₈, u₉, u₁₀, u₁₁, u₁₂, u₁₃, u₁₄, u₁₅, u₁₆ included in 4-bitDiscrete Fourier Transformation (DFT) codebook.

FIG. 5 is an operation flowchart illustrating a method for operating abase station according to an exemplary embodiment.

FIG. 6 is an operation flowchart illustrating a method for operating aterminal according to an exemplary embodiment.

Throughout the drawings and the detailed description, unless otherwisedescribed, the same drawing reference numerals will be understood torefer to the same elements, features, and structures.

DETAILED DESCRIPTION

The following detailed description is provided to assist the reader ingaining a comprehensive understanding of the methods, apparatuses and/orsystems described herein. Accordingly, various changes, modifications,and equivalents of the systems, apparatuses and/or methods describedherein will be suggested to those of ordinary skill in the art. Also,descriptions of well-known functions and constructions are omitted toincrease clarity and conciseness.

FIG. 1 illustrates a Multiple-Users Multiple-Input Multiple-Output(MU-MIMO) system according to an exemplary embodiment.

Referring to FIG. 1, the MU-MIMO system comprises a base station 110,and a plurality of users 120, 130, and 140. A plurality of antennas isinstalled in the base station 110, and a single antenna or a pluralityof antennas may be installed in each of the plurality of users 120, 130,and 140. A channel is formed between the base station 110 and theplurality of users 120, 130, and 140, and the base station 110 and theplurality of users 120, 130, and 140 transmits/receives signals throughthe formed channel.

The base station 110 may transmit at least one data stream to theplurality of users 120, 130, and 140. The base station 110 may performbeamforming on the data stream according to, for example, a SpatialDivision Multiplexing Access (SDMA) scheme. The base station 110 maygenerate a pre-coding matrix W_(k) using a codebook {u_(i)}_(i=1) ² ^(B), and also generate transmission signals using the generated pre-codingmatrix W_(k).

The base station 110 transmits pilot signals to the plurality of users120, 130, and 140 through a downlink channel. Here, the pilot signalsare signals well-known to the base station 110 and the plurality ofusers 120, 130, and 140.

Each of the plurality of users 120, 130, and 140 estimates the channelformed between the base station 110 and the plurality of users 120, 130,and 140 using the pilot signals. Also, the plurality of users 120, 130,and 140 selects, as a preferred vector, any one vector of vectorsincluded in a codebook previously stored based on the estimated channel.Here, u_(i) is an i-th vector included in the codebook, and B is anumber of feedback bits. Specifically, where the number of feedback bitsis B-bits, 2^(B) vectors generated by quantizing a space are stored inthe codebook. Each of all users may have an identical number of feedbackbits, however, may have the number of feedback bits which is differentfor each users according to various factors such as different channelenvironments of the users, Signal to Interference and Noise Ratio(SINR), and the like in a more optimized manner.

Also, each of the plurality of users 120, 130, and 140 may select anyone vector of 2^(B) vectors as a preferred vector with a variety ofstandards.

For example, each of the plurality of users 120, 130, and 140 may selectany one vector of 2^(B) vectors as the preferred vector based on anachievable data transmission rate and the SINR. In addition, each of theplurality of users 120, 130, and 140 may determine a preferredtransmission rank. Here, the transmission rank denotes a number of datastreams. Specifically, vectors corresponding to a number of data streamsfrom among 2^(B) vectors may be selected as the preferred vectors.

Also, each of the users 120, 130, and 140 feeds back informationassociated with the selected preferred vector to the base station 110.Here, the information associated with the selected preferred vector maybe referred to as a Channel Direction Information (CDI).

The base station 110 receives the information associated with thepreferred vectors of each of the plurality of users 120, 130, and 140 todetermine a pre-coding matrix. In addition, the base station 110 mayselect a part or all of the plurality of users 120, 130, and 140 usingvarious user selection algorithms such as Semi-orthogonal User Selection(SUS), Greedy User Selection (GUS), and the like.

In this case, a codebook identical to the codebook stored in theplurality of users 120, 130, and 140 may be stored in the base station110 in advance.

The base station 110 determines a pre-coding matrix from the previouslystored codebook using information associated with the preferred vectorreceived from the plurality of users 120, 130, and 140. The base station110 may determine the pre-coding matrix such that a sum rate ismaximized.

Also, the base station 110 performs pre-coding on data streams S₁ andS_(N) using the determined pre-coding matrix to thereby generate thetransmission signals. Here, a process for generating the transmissionsignals by the base station 110 may be referred to as ‘beamforming’.

In 3GPP LTE (3^(rd) Generation Partnership Project Long Term Evolution),a MU-MIMO codebook for the MU-MIMO system may be designed by redesign acodebook (hereinafter, referred to as RANK 1 SU-MIMO codebook) for theSU-MIMO system used where a rank is ‘1’.

The RANK 1 SU-MIMO codebook defined in 3GPP LTE includes 16 numberedvectors where a number of feedback bits is 4. Here, 16 numbered vectorsmay be grouped into four unitary matrixes M₁, M₂, M₃, and M₄, and theRANK 1 SU-MIMO codebook may be represented by

$\begin{matrix}{{{{M_{1} = \lbrack {u_{1}u_{2}u_{3}u_{4}} \rbrack},{M_{2} = \lbrack {u_{5}u_{6}u_{7}u_{8}} \rbrack},{M_{3} = \lbrack {u_{9}u_{10}u_{11}u_{12}} \rbrack},{and}}{M_{4} = \lbrack {u_{13}u_{14}u_{15}u_{16}} \rbrack},{wherein},{u_{1} = {\frac{1}{2}\begin{matrix}\lbrack 1  & 1 & 1 &  1 \rbrack^{T}\end{matrix}}},{u_{2} = {\frac{1}{2}\begin{matrix}\lbrack 1  & j & {- 1} &  {- j} \rbrack^{T}\end{matrix}}},{u_{3} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {- 1} & 1 & { {- 1} \rbrack^{T},}\end{matrix}}}}{u_{4} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {- j} & {- 1} & { j \rbrack^{T},}\end{matrix}}}{u_{5} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{j\frac{\pi}{4}} & j & { {\mathbb{e}}^{j\frac{3\;\pi}{4}} \rbrack^{T},}\end{matrix}}}{u_{6} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{j\frac{3\pi}{4}} & {- j} & { {\mathbb{e}}^{j\frac{\;\pi}{4}} \rbrack^{T},}\end{matrix}}}{u_{7} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{j\frac{5\pi}{4}} & j & { {\mathbb{e}}^{{- j}\frac{\pi}{4}} \rbrack^{T},}\end{matrix}}}{u_{8} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{{- j}\frac{\pi}{4}} & {- j} & { {\mathbb{e}}^{j\frac{5\pi}{4}} \rbrack^{T},}\end{matrix}}}{{u_{9} = {\frac{1}{2}\begin{matrix}\lbrack 1  & 1 & {- 1} &  {- 1} \rbrack^{T}\end{matrix}}},{u_{10} = {\frac{1}{2}\begin{matrix}\lbrack 1  & j & 1 &  j \rbrack^{T}\end{matrix}}},{u_{11} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {- 1} & {- 1} &  1 \rbrack^{T}\end{matrix}}},{u_{12} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {- j} & 1 &  {- j} \rbrack^{T}\end{matrix}}},{u_{13} = {\frac{1}{2}\begin{matrix}\lbrack 1  & 1 & 1 &  {- 1} \rbrack^{T}\end{matrix}}},{u_{14} = {\frac{1}{2}\begin{matrix}\lbrack 1  & 1 & {- 1} &  1 \rbrack^{T}\end{matrix}}},{u_{15} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {- 1} & 1 &  1 \rbrack^{T}\end{matrix}}},{and}}{u_{16} = {\frac{1}{2}{\begin{matrix}\lbrack 1  & {- 1} & {- 1} &  {- 1} \rbrack^{T}\end{matrix}.}}}} & \lbrack {{Equation}\mspace{14mu} 1} \rbrack\end{matrix}$

Equation 1 denotes the RANK 1 SU-MIMO codebook defined in 3GPP LTE, andM₁ and M₂ are DRT matrixes. The DFT matrixes may be in a good match witha Line Of Site (LOS) channel.

However, M₃ and M₄ are matrixes that may be unsuitable for the MU-MIMOsystem. Also, M₁ and M₂ rather than M₃ and M₄ may be suitable for theMU-MIMO system, however, M₁ and M₂ may not be designed considering acase where the base station 110 has a plurality of sectors. Accordingly,where the base station 110 has the plurality of sectors, to apply M₁ andM₂ as they are to the MU-MIMO system may be unsuitable.

This may be because a coverage of each of the plurality of sectors maybe reduced in a case where a cell of the base station 110 includes theplurality of sectors. For example, coverage of a single sector may be120 degrees where the cell includes three sectors, and the coverage maybe 60 degrees where the cell includes six sectors. Specifically, wherethe cell includes the plurality of sectors, to apply M₁ and M₂ as theyare to the MU-MIMO system may unnecessarily increase a size of thecodebook. Thus, the codebook may be comprised of only vectors requiredfor covering the coverage of the single sector. In this case, byreducing the size of the codebook, a number of feedback bits may bereduced.

The codebook for the SU-MIMO system may include the DFT codebook. A3-bit DFT codebook is comprised of U₁=[u₁ u₂ u₃ u₄] and U₂=[u₅ u₆ u₇u₈], and a 4-bit DFT codebook is comprised of U₁=[u₁ u₂ u₃ u₄], U₂=[u₅u₆ u7 u₈], U₃=[u₉ u₁₀ u₁₁ u₁₂], and U₄=[u₁₃ u₁₄ u₁₅ u₁₆].

Here, a b-th matrix U^((b)) of the DFT codebook and a (m+1)-th rowvector u_(m) ^((b)) of U^((b)) may be represented byU^((b))=[u₀ ^((b)) . . . u_(M−1) ^((b))],   [Equation 2].

wherein, M denotes a number of transmission antennas.

Where the number of transmission antennas is 4, 16 numbered vectorsincluded in the 4-bit DFT codebook may be represented byu₁=[0.5 0.5 0.5]^(T),u ₂=[0.5 0.5j−0.5−0.5j] ^(T),u ₃=[0.5−0.5 0.5−0.5]^(T),u ₄=[0.5−0.5j−0.5 0.5j] ^(T),u ₅=[0.5 0.4619+0.1913j 0.3536+0.3536j 0.1913+0.4619j] ^(T),u ₆=[0.5−0.1913+0.4619j−0.3536−0.3536j 0.4619−0.1913j] ^(T),u ₇=[0.5−0.4619−0.1913j 0.3536+0.3536j−0.1913−0.4619j] ^(T),u ₈=[0.5 0.1913−0.4619j−0.3536−0.3536j−0.4619+0.1913j] ^(T),u ₉=[0.5 0.3536+0.3536j 0.5j−0.3536+0.3536j] ^(T),u ₁₀=[0.5 0.3536+0.3536j−0.5j 0.3536+0.353j] ^(T),u ₁₁=[0.5 0.3536−0.3536j 0.5j 0.3536−0.3536j] ^(T),u ₁₂=[0.5 0.3536−0.3536j−0.5j−0.3536−0.3536j] ^(T),u ₁₃=[0.5 0.1913+0.4619j−0.3536+0.3536j−0.4619−0.1913j] ^(T),u ₁₄=[0.5−0.4619+0.1913j 0.3536−0.3536j−0.1913+0.4619j] ^(T),u ₁₅=[0.5−0.1913−0.4619j−0.3536+0.3536j 0.4619+0.₁₉₁₃ j] ^(T), andu ₁₆=[0.5 0.4619−0.1913j 0.3536−0.3536j 0.1913−0.4619j] ^(T).  [Equation 3]

The DFT codebook as described above is designed without considering acase where the base station 110 includes the plurality of sectors, likethe RANK 1 SU-MIMO codebook defined in 3GPP LTE.

Like the RANK 1 SU-MIMO codebook, to use the DFT codebook, as is, mayunnecessarily increase the size of the codebook where the cell includesthe plurality of sectors, which may result in being unsuitable.

In this case, whether an appropriate codebook is newly designed byselecting vectors from among vectors included in the original DFTcodebook or the RANK 1 SU-MIMO codebook where the cell includes theplurality of sectors will be herein described.

FIG. 2 illustrates a MU-MIMO codebook design method according to anexemplary embodiment.

FIG. 3 illustrates beam patterns of u₁, u₂, u₃, u₄, u₅, u₆, u₇, u₈included in a codebook defined in 3GPP LTE, and FIG. 4 illustrates beampatterns of u₁, u₂, u₃, u₄, u₅, u₆, u₇, u₈, u₉, u₁₀, u₁₁, u₁₂, u₁₃, u₁₄,u₁₅, u₁₆ included in 4-bit DFT codebook.

Referring to FIG. 2, the MU-MIMO codebook design method comprisesanalyzing beam patterns of candidate vectors included in a candidatecodebook previously prepared in operation S210.

In this embodiment, the candidate codebook is a codebook for a SU-MIMOsystem, and the codebook for the SU-MIMO system may include the DFTcodebook or a codebook defined in 3GPP LTE.

Referring to FIG. 3, each of eight vectors included in the codebookdefined in 3GPP LTE has unique beam patterns. In particular, u₃ fromamong eight vectors has the widest lobe.

In a case where a cell of the base station is comprised of threesectors, a coverage of a single cell is 120 degrees. In this case, acoverage of 120 degrees ranging from 60 to −60 degrees may be seen to bewell-covered using the remaining seven vectors obtained by eliminatingu₃ from among eight vectors. Also, a coverage of each of three sectorsmay be seen to be well-covered using the remaining seven vectors in anidentical manner.

Also, in a case where the cell of the base station is comprised of sixsectors, a coverage of a single cell is 60 degrees. In this case, acoverage of 60 degrees ranging from 30 to −30 degrees may be seen to bewell-covered using u₂, u₅, u₁, u₈ or u₅, u₁, u₈, u₄.

Referring to FIG. 4, the 4-bit DFT codebook is comprised of sixteenvectors. In a case where the cell of the base station is comprised ofthree sectors, a coverage of a single cell is 120 degrees, and acoverage of 120 degrees ranging from 60 to −60 degrees may be seen to bewell-covered using [u₁₄ u₁₀ u₆ u₂ u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u₄ u₁₅ u₁₁] or[u₁₀ u₆ u₂ u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u₄ u₁₅ u₁₁ u₇].

Consequently, where the cell of the base station includes the pluralityof sectors, the coverage of the single sector may be well-covered evenwithout using eight vectors included in the codebook defined in 3GPP LTEor sixteen vectors included in the 4-bit DFT codebook. As a result, asize of the codebook may be reduced, and the number of feedback bits maybe reduced along with a reduction in the size of the codebook.

Referring back to FIG. 2, the MU-MIMO codebook design method furthercomprises eliminating at least one vector of the candidate vectors basedon the beam patterns of the candidate vectors in operation S220. Here,the operation S220 for eliminating at least one vector may be anoperation for eliminating at least one vector of the candidate vectorsbased on a coverage of each of the plurality of sectors.

The MU-MIMO codebook design method further comprises eliminating atleast one vector of the candidate vectors according to the beam patternsof the candidate vectors, and generating a MU-MIMO codebook for theMU-MIMO system being comprised of the remaining vectors obtained byeliminating the at least one vector, in operation S230.

In a case of the cell comprised of the plurality of sectors, theoperation S230 for generating the MU-MIMO codebook may be an operationfor eliminating at least one vector of the candidate vectors accordingto a coverage corresponding to each of the plurality of sectors tothereby generate the MU-MIMO codebook being comprised of the remainingvectors. Here, a coverage of each of the plurality of sectors may bewell-covered using the MU-MIMO codebook being identical for each of theplurality of sectors.

In the case of the cell comprised of the plurality of sectors, theoperation S230 for generating the MU-MIMO codebook may be an operationfor generating the MU-MIMO codebook in order to well-cover a singlesector by the remaining vectors.

Also, the operation S230 for generating the MU-MIMO codebook may be anoperation for eliminating at least one vector of the candidate vectorsin the order from a largest beam width of the candidate vectors tothereby generate the MU-MIMO codebook being comprised of the remainingvectors.

As an example, the operation S230 may generate the MU-MIMO codebook as[u₂ u₅ u₁ u₈] or [u₅ u₁ u₈ u₄] where the cell is comprised of threesectors and the previously prepared candidate codebook is the codebookfor SU-MIMO system defined in 3GPP LTE.

Here,

${u_{1} = {\frac{1}{2}\begin{matrix}\lbrack 1  & 1 & 1 &  1 \rbrack^{T}\end{matrix}}},{u_{2} = {\frac{1}{2}\begin{matrix}\lbrack 1  & j & {- 1} &  {- j} \rbrack^{T}\end{matrix}}},{u_{4} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {- j} & {- 1} & { j \rbrack^{T},}\end{matrix}}}$ $u_{5} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{j\frac{\pi}{4}} & j & { {\mathbb{e}}^{j\frac{3\;\pi}{4}} \rbrack^{T},}\end{matrix}}$ and $u_{8} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{{- j}\frac{\pi}{4}} & {- j} & { {\mathbb{e}}^{j\frac{5\pi}{4}} \rbrack^{T}.}\end{matrix}}$

As another example, the operation S230 for generating the MU-MIMOcodebook may generate the MU-MIMO codebook as [u₂ u₅ u₁ u₈] or [u₅ u₁ u₈u₄] where the cell is comprised of six sectors and the previouslyprepared candidate codebook is the codebook for MU-MIMO system definedin 3GPP LTE.

Here,

${u_{1} = {\frac{1}{2}\begin{matrix}\lbrack 1  & 1 & 1 &  1 \rbrack^{T}\end{matrix}}},{u_{2} = {\frac{1}{2}\begin{matrix}\lbrack 1  & j & {- 1} &  {- j} \rbrack^{T}\end{matrix}}},{u_{4} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {- j} & {- 1} & { j \rbrack^{T},}\end{matrix}}}$ $u_{5} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{j\frac{\pi}{4}} & j & { {\mathbb{e}}^{j\frac{3\;\pi}{4}} \rbrack^{T},}\end{matrix}}$ and $u_{8} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{{- j}\frac{\pi}{4}} & {- j} & { {\mathbb{e}}^{j\frac{5\pi}{4}} \rbrack^{T}.}\end{matrix}}$

As another example, the operation S230 for generating the MU-MIMOcodebook may generate the MU-MIMO codebook as [u₁₄ u₁₀ u₆ u₂ u₁₃ u₉ u₅u₁ u₁₆ u₁₂ u₈ u₄ u₁₅ u₁₁] or [u₁₀ u₆ u₂ u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u₄ u₁₅u₁₁ u₇] where the cell is comprised of three sectors and the previouslyprepared candidate codebook is the 4-bit DFT codebook. Here,u₁=[0.5 0.5 0.5 0.5]^(T),u ₂=[0.5 0.5j−0.5−0.5j] ^(T),u ₄=[0.5−0.5j−0.5 0.5j] ^(T),u ₅=[0.5 0.4619+0.1913j 0.3536+0.3536j 0.1913+0.4619j] ^(T),u ₆=[0.5−0.1913+0.4619j−0.3536−0.3536j 0.4619−0.1913j] ^(T),u ₇=[0.5−0.4619−0.1913j 0.3536+0.3536j−0.1913−0.4619j] ^(T),u ₈=[0.5 0.1913−0.4619j−0.3536−0.3536j−0.4619+0.1913j] ^(T),u ₉=[0.5 0.3536+0.3536j 0.5j−0.3536+0.3536j] ^(T),u ₁₀=[0.5−0.3536+0.3536j−0.5j 0.3536+0.3536j] ^(T),u ₁₁=[0.5−0.3536−0.3536j 0.5j 0.3536−0.3536j] ^(T),u ₁₂=[0.5 0.3536−0.3536j−0.5j−0.3536−0.353j] ^(T),u ₁₃=[0.5 0.1913+0.4619j−0.3536+0.3536j−0.4619−0.1913j] ^(T),u ₁₄=[0.5−0.4619+0.1913j 0.3536−0.3536j−0.1913+0.4619j] ^(T),u ₁₅=[0.5−0.1913−0.4619j−0.3536+0.3536j 0.4619+0.1913j] ^(T), andu ₁₆=[0.5 0.4619−0.1913j 0.3536−0.3536j 0.1913−0.4619j] ^(T).

As another example, the operation S230 for generating the MU-MIMOcodebook may generate the MU-MIMO codebook as [u₂ u₁₃ u₉ u₅ u₁ u₁₆ u₁₂u₈] or [u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u₄] where the cell is comprised of sixsectors and the previously prepared candidate codebook is the 4-bit DFTcodebook.

Here,u₁=[0.5 0.5 0.5 0.5]^(T),u ₂=[0.5 0.5j−0.5−0.5j] ^(T),u ₄=[0.5−0.5j−0.5 0.5j] ^(T),u ₅=[0.5 0.4619+0.1913j 0.3536+0.3536j 0.1913+0.4619j] ^(T),u ₈=[0.5 0.1913−0.4619j−0.3536−0.3536j−0.4619+0.1913j] ^(T),u ₉=[0.5 0.3536+0.3536j 0.5j−0.3536+0.3536j] ^(T),u ₁₂=[0.5 0.3536−0.3536j−0.5j−0.3536−0.3536j] ^(T),u ₁₃=[0.5 0.1913+0.4619j−0.3536+0.3536j−0.4619−0.1913j] ^(T) , andu ₁₆=[0.5 0.4619−0.1913j 0.3536−0.3536j 0.1913−0.4619j] ^(T).

Accordingly, the MU-MIMO codebook design method according to anexemplary embodiment may appropriately select vectors based on a numberof sectors included in the cell and a coverage of each of the sectors,thereby minimizing a size of the codebook while well-covering thecoverage of each of the sectors.

Referring back to FIG. 2, the MU-MIMO codebook design method furthercomprises optimizing the MU-MIMO codebook based on interferencesgenerated between the remaining vectors in operation S240.

The operation S240 for optimizing the MU-MIMO codebook may be anoperation for selecting a part or all of the remaining vectors dependingon a predetermined number of feedback bits based on the interferencegenerated between the remaining vectors. In addition, the operation S240for optimizing the MU-MIMO codebook may be an operation for calculatingSINR of the remaining vectors based on the interferences generatedbetween the remaining vectors, and selecting a part or all of theremaining vectors based on the SINR of the remaining vectors.

A size of the MU-MIMO codebook, that is, a number of vectors included inthe MU-MIMO codebook may be determined depending on a number of feedbackbits. For example, where the number of feedback bits is 3, the number ofvectors included in the MU-MIMO codebook may be limited to 8 or less,and where the number of feedback bits is 4, the number of vectorsincluded in the MU-MIMO codebook may be limited to 16 or less.

Accordingly, the MU-MIMO codebook generated through the operation S230for generating the MU-MIMO codebook may be adjusted or optimized in sizedepending on the number of feedback bits. In this case, the MU-MIMOcodebook is comprised of the remaining vectors obtained by eliminatingat least one vector of the candidate vectors.

A metric used for optimizing the MU-MIMO codebook may be determinedbased on a Signal to Interference Ratio (SIR). In particular,SIR_(i, j), that is, an SIR of an i-th beam with respect to a j-th beammay be represented by

$\begin{matrix}{{{{SIR}_{i,j} = {\min\limits_{\theta \in \alpha_{i}}{\frac{A_{i}(\theta)}{A_{j}(\theta)}}^{2}}},{{A_{i}(\theta)} = {{{{space}(\theta)}u_{i}^{H}}}},{and}}{{{{space}(\theta)} = \begin{bmatrix}{1,{\mathbb{e}}^{{- j}\frac{2\pi}{\lambda}d\;\sin\;\theta},\ldots\mspace{14mu},} \\{{\mathbb{e}}^{{- j}\frac{2\pi}{\lambda}{({n - 1})}d\;\sin\;\theta}\mspace{11mu}\ldots\mspace{14mu}{\mathbb{e}}^{{- j}\frac{2\pi}{\lambda}{({N - 1})}d\;\sin\;\theta}}\end{bmatrix}},{wherein}}} & \lbrack {{Equation}\mspace{14mu} 4} \rbrack\end{matrix}$α_(i) denotes a space angle interval in which a beamforming gain of ani-th beam is maximized, θ denotes an element included in α_(i), A_(i)(θ)denotes the beamforming gain of the i-th beam, λ denotes a wavelength, ddenotes an interval between transmission antennas, n denotes an index ofthe transmission antennas, and N denotes a number of transmissionantennas.

Since physically adjacent beams are not simultaneously used in a SpaceDivision Multiple Access (SDMA) system or the MU-MIMO system, a SIRbetween the adjacent beams may be regarded as ‘1’.

SIR_(i,j) may be calculated with respect to each of the vectors includedin the MU-MIMO codebook generated through the operation S230 forgenerating the MU-MIMO codebook. Also, SIR_(min) of a minimum value fromamong SIR_(i,j) calculated with respect to each of sub-sets of theMU-MIMO codebook may be ascertained.

A sub-set corresponding to a maximum value of SIR_(min) calculated withrespect to each of the sub-sets of the MU-MIMO codebook and having asize corresponding to the number of feedback bits may be selected as anoptimized MU-MIMO codebook.

For example, in a case of the 4-bit DFT codebook, it is assumed that[u₁₄ u₁₀ u₆ u₂ u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u₄ u₁₅ u₁₁] or [u₁₀ u₆ u₂ u₁₃ u₉u₅ u₁ u₁₆ u₁₂ u₈ u₄ u₁₅ u₁₁ u₇] may be generated as the MU-MIMO codebookthrough the operation S230 for generating the MU-MIMO codebook. Wherethe number of feedback bits is limited to 3, the number of vectorsincluded in the MU-MIMO codebook may be limited to 8 or less. Where thenumber of vectors included in the MU-MIMO codebook is 8, C⁸ ₁₄ numberedsub-sets may exist. In this case, SIR_(i,j) with respect to vectorsincluded in each of the sub-sets may be calculated, and SIR_(min) withrespect to each of the sub-sets may be ascertained. Also, a sub-setcorresponding to a maximum value of SIR_(min) with respect to each ofthe sub-sets may be an optimized MU-MIMO codebook.

FIG. 5 illustrates a method for operating a base station according to anexemplary embodiment, and FIG. 6 illustrates a method for operating aterminal according to an exemplary embodiment.

Referring to FIG. 5, in operation S510, the base station stores aMU-MIMO codebook designed according to an exemplary embodiment describedabove.

Referring to FIG. 6, in operation S610, the terminal stores the MU-MIMOcodebook like the base station.

In operation S520, the base station transmits, to a plurality ofterminals, pilot signals having been well-known to the plurality ofterminals.

In operation S620, the terminal estimates a channel formed between thebase station and the terminal using the pilot signals. In this case, theterminal may ascertain quality and direction of the channel.

In operation S630, the terminal transmits feedback data, that is,information associated with the estimated channel to the base station. Anumber of bits of the feedback data may be determined in advance, andthe number of feedback bits may be associated with a size of thecodebook. In particular, the feedback data may include index informationof a preferred vector from among a plurality of vectors included in thecodebook.

In operation S530, the base station receives the feedback data from theterminal.

In operation S540, the base station receives the feedback data of eachof the plurality of terminals, and selects a part or all of theplurality of terminals (users).

In operation S550, the base station selects a pre-coding matrix fromamong sub-sets of the codebook based on the feedback data of each of theplurality of terminals.

In operation S560, the base station performs pre-coding on at least onedata stream for selected users using the selected pre-coding matrix.

In operation S640, the terminal performs reception beamforming based ona preferred vector in a case where the terminal has a plurality ofreception antennas.

The methods described above may be recorded, stored, or fixed in one ormore computer-readable media that includes program instructions to beimplemented by a computer to cause a processor to execute or perform theprogram instructions. The media may also include, alone or incombination with the program instructions, data files, data structures,and the like. The media and program instructions may be those speciallydesigned and constructed for the purposes of the present invention, orthey may be of the kind well-known and available to those having skillin the computer software arts. Examples of computer-readable mediainclude magnetic media such as hard disks, floppy disks, and magnetictape; optical media such as CD ROM disks and DVD; magneto-optical mediasuch as optical disks; and hardware devices that are speciallyconfigured to store and perform program instructions, such as read-onlymemory (ROM), random access memory (RAM), flash memory, and the like.Examples of program instructions include both machine code, such asproduced by a compiler, and files containing higher level code that maybe executed by the computer using an interpreter. The described hardwaredevices may be configured to act as one or more software modules inorder to perform the operations and methods described above.

A number of exemplary embodiments have been described above.Nevertheless, it will be understood that various modifications may bemade. For example, suitable results may be achieved if the describedtechniques are performed in a different order and/or if components in adescribed system, architecture, device, or circuit are combined in adifferent manner and/or replaced or supplemented by other components ortheir equivalents. Accordingly, other implementations are within thescope of the following claims.

1. A method for designing a Multiple User Multiple Input Multiple Output(MU-MIMO) codebook by a base station, terminal, or computer, the methodcomprising: generating or receiving feedback information transmitted inresponse to a pilot signal; analyzing beam patterns of candidate vectorsincluded in a predetermined candidate codebook; and eliminating at leastone of the candidate vectors based on the beam patterns of the candidatevectors to generate the MU-MIMO codebook for a MU-MIMO system beingcomprised of the remaining vectors.
 2. The MU-MIMO codebook designmethod of claim 1, further comprising: optimizing the MU-MIMO codebookbased on interferences existed between the remaining vectors.
 3. TheMU-MIMO codebook design method of claim 2, wherein the optimizingselects a part or all of the remaining vectors depending on apredetermined number of feedback bits based on the interferences betweenthe remaining vectors.
 4. The MU-MIMO codebook design method of claim of2, wherein the optimizing calculates a signal-to-interference ratio ofthe remaining vectors based on the interferences generated between theremaining vectors, and selects a part or all of the remaining vectorsbased on the signal-to-interference ratio of the remaining vectors. 5.The MU-MIMO codebook design method of claim 1, wherein the eliminatingeliminates at least one of the candidate vectors according to a coverageof each of a plurality of sectors to generate the MU-MIMO codebook beingcomprised of the remaining vectors, when a cell is composed of theplurality of sectors.
 6. The MU-MIMO codebook design method of claim 1,wherein the eliminating generates the MU-MIMO codebook when a cell iscomposed of a plurality of sectors, so that the remaining vectors covera single sector.
 7. The MU-MIMO codebook design method of claim 1,wherein the eliminating eliminates at least one of the candidate vectorsbased on a beam width of the candidate vectors to generate the MU-MIMOcodebook being composed of the remaining vectors.
 8. The MU-MIMOcodebook design method of claim 1, wherein the eliminating eliminates atleast one of the candidate vectors in the order from a largest beamwidth of the candidate vectors to generate the MU-MIMO codebook beingcomprised of the remaining vectors.
 9. The MU-MIMO codebook designmethod of claim 1, wherein the predetermined candidate codebook is acodebook for a Single User Multiple Input Multiple Output (SU-MIMO)system, and the codebook for the SU-MIMO system includes DiscreteFourier Transformation (DFT) codebook or a codebook defined in 3^(rd)Generation Partnership Project Long Term Evolution (3GPP LTE).
 10. TheMU-MIMO codebook design method of claim 1, wherein when a cell iscomposed of three sectors, and the predetermined candidate codebook is acodebook for a SU-MIMO system defined in 3GPP LTE, the eliminatinggenerates the MU-MIMO codebook as [u₁ u₂ u₄ u₅·u₆ u₇ u₈], wherein${u_{1} = {\frac{1}{2}\begin{matrix}\lbrack 1  & 1 & 1 &  1 \rbrack^{T}\end{matrix}}},{u_{2} = {\frac{1}{2}\begin{matrix}\lbrack 1  & j & {- 1} &  {- j} \rbrack^{T}\end{matrix}}},{u_{4} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {- j} & {- 1} & { j \rbrack^{T},}\end{matrix}}}$ $u_{5} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{j\frac{\pi}{4}} & j & { {\mathbb{e}}^{j\frac{3\;\pi}{4}} \rbrack^{T},}\end{matrix}}$ $u_{6} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{j\frac{3\pi}{4}} & {- j} & { {\mathbb{e}}^{j\frac{\;\pi}{4}} \rbrack^{T},}\end{matrix}}$ $u_{7} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{j\frac{5\pi}{4}} & j & { {\mathbb{e}}^{{- j}\frac{\pi}{4}} \rbrack^{T},}\end{matrix}}$ and $u_{8} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{{- j}\frac{\pi}{4}} & {- j} & { {\mathbb{e}}^{j\frac{5\pi}{4}} \rbrack^{T}.}\end{matrix}}$
 11. The MU-MIMO codebook design method of claim 10,further comprising: selecting a part or all of vectors included in thegenerated [u₁ u₂ u₄ u₅ u₆ u₇ u₈ ] depending on a predetermined number offeedback bits to optimize the MU-MIMO codebook.
 12. The MU-MIMO codebookdesign method of claim 1, wherein when a cell is composed of six sectorsand the predetermined candidate codebook is a codebook for a SU-MIMOsystem defined in 3GPP LTE, the eliminating generates the MU-MIMOcodebook as [u₂ u₅ u₁ u₈] or [u₅ u₁ u₈ u₄], wherein${u_{1} = {\frac{1}{2}\begin{matrix}\lbrack 1  & 1 & 1 &  1 \rbrack^{T}\end{matrix}}},{u_{2} = {\frac{1}{2}\begin{matrix}\lbrack 1  & j & {- 1} &  {- j} \rbrack^{T}\end{matrix}}},{u_{4} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {- j} & {- 1} & { j \rbrack^{T},}\end{matrix}}}$ $u_{5} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{j\frac{\pi}{4}} & j & { {\mathbb{e}}^{j\frac{3\;\pi}{4}} \rbrack^{T},}\end{matrix}}$ and $u_{8} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{{- j}\frac{\pi}{4}} & {- j} & { {\mathbb{e}}^{j\frac{5\pi}{4}} \rbrack^{T}.}\end{matrix}}$
 13. The MU-MIMO codebook design method of claim 12,further comprising: selecting a part or all of vectors included in thegenerated [u₂ u₅ u₁ u₈ ] or [u₅ u₁ u₈ u₄] depending on a predeterminednumber of feedback bits to optimize the MU-MIMO codebook.
 14. TheMU-MIMO codebook design method of claim 1, wherein when a cell iscomposed of three sectors and the predetermined candidate codebook is a4-bit DFT codebook, the eliminating generates the MU-MIMO codebook as[u₁₄ u₁₀ u₆ u₂ u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u₄ u₁₅ u₁₁ ] or [u₁₀ u₆ u₂ u₁₃ u₉u₅ u₁ u₁₆ u₁₂ u₈ u₄ u₁₅ u₁₁ u₇ ] , whereinu₁=[0.5 0.5 0.5 0.5]^(T),u ₂=[0.5 0.5j−0.5−0.5j] ^(T),u ₄=[0.5−0.5j−0.5 0.5j] ^(T),u ₅=[0.5 0.4619+0.1913j 0.3536+0.3536j 0.1913+0.4619j] ^(T),u ₆=[0.5−0.1913+0.4619j−0.3536−0.3536j 0.4619−0.1913j] ^(T),u ₇=[0.5−0.4619−0.1913j 0.3536+0.3536j−0.1913−0.4619j] ^(T),u ₈=[0.5 0.1913−0.4619j−0.3536−0.3536j−0.4619+0.1913j] ^(T),u ₉=[0.5 0.3536+0.3536j 0.5j−0.3536+0.3536j] ^(T),u ₁₀=[0.5−0.3536+0.3536j−0.5j 0.3536+0.353j] ^(T),u ₁₁=[0.5−0.3536−0.3536j 0.5j 0.3536−0.3536j] ^(T),u ₁₂=[0.5 0.3536−0.3536j−0.5j−0.3536−0.3536j] ^(T),u ₁₃=[0.5 0.1913+0.4619j−0.3536+0.3536j−0.4619−0.1913j] ^(T),u ₁₄=[0.5−0.4619+0.1913j 0.3536−0.3536j−0.1913+0.4619j] ^(T),u ₁₅=[0.5 0.1913 0.4619j 0.3536+0.3536j 0.4619+0.1913j] ^(T), andu ₁₆=[0.5 0.4619−0.1913j 0.3536−0.3536j 0.1913−0.4619j] ^(T).
 15. TheMU-MIMO codebook design method of claim 14, further comprising:selecting a part or all of vectors included in the generated [u₁₄ u₁₀ u₆u₂ u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u₄ u₁₅ u₁₁ ] or [u₁₀ u₆ u₂ u₁₃ u₉ u₅ u₁ u₁₆u₁₂ u₈ u₄ u₁₅ u₁₁ u₇ ] depending on a predetermined number of feedbackbits to optimize the MU-MIMO codebook.
 16. The MU-MIMO codebook designmethod of claim 1, wherein when a cell is composed of six sectors andthe predetermined candidate codebook is a 4-bit DFT codebook, theeliminating generates the MU-MIMO codebook as [u₂ u₁₃ u₉ u₅ u₁ u₁₆ u₁₂u₈ ] or [u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u₄], whereinu₁=[0.5 0.5 0.5 0.5]^(T),u ₂=[0.5 0.5j−0.5−0.5j] ^(T),u ₄[0.5−0.5j−0.5 0.5j] ^(T),u ₅=[0.5 0.4619+0.1913j 0.3536+0.3536j 0.1913+0.4619j] ^(T),u ₈=[0.5 0.1913−0.4619j−0.3536−0.3536j−0.4619+0.1913j] ^(T),u ₉=[0.5 0.3536+0.3536j 0.5j−0.3536+0.3536j] ^(T),u ₁₂=[0.5 0.3536−0.3536j−0.5j−0.3536−0.3536j] ^(T),u ₁₃=[0.5 0.1913+0.4619j−0.3536+0.3536j−0.4619−0.1913j] ^(T), andu ₁₆=[0.5 0.4619−0.1913j 0.3536−0.3536j 0.1913−0.4619j] ^(T).
 17. TheMU-MIMO codebook design method of claim 16, further comprising:selecting a part or all of vectors included in the generated as [u₂ u₁₃u₉ u₅ u₁ u₁₆ u₁₂ u₈] or [u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u₄] depending on apredetermined number of feedback bits to optimize the MU-MIMO codebook.18. A method for operating a base station, the method comprising:storing a part or all of vectors included in [u₁ u₂ u₄ u₅ u₆ u₇ u₈] as aMU-MIMO codebook; receiving feedback information transmitted in responseto a pilot signal; and pre-coding at least one data stream using thestored MU-MIMO codebook, wherein ${u_{1} = {\frac{1}{2}\begin{matrix}\lbrack 1  & 1 & 1 &  1 \rbrack^{T}\end{matrix}}},{u_{2} = {\frac{1}{2}\begin{matrix}\lbrack 1  & j & {- 1} &  {- j} \rbrack^{T}\end{matrix}}},{u_{4} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {- j} & {- 1} & { j \rbrack^{T},}\end{matrix}}}$ $u_{5} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{j\frac{\pi}{4}} & j & { {\mathbb{e}}^{j\frac{3\;\pi}{4}} \rbrack^{T},}\end{matrix}}$ $u_{6} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{j\frac{3\pi}{4}} & {- j} & { {\mathbb{e}}^{j\frac{\;\pi}{4}} \rbrack^{T},}\end{matrix}}$ $u_{7} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{j\frac{5\pi}{4}} & j & { {\mathbb{e}}^{{- j}\frac{\pi}{4}} \rbrack^{T},}\end{matrix}}$ and $u_{8} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{{- j}\frac{\pi}{4}} & {- j} & { {\mathbb{e}}^{j\frac{5\pi}{4}} \rbrack^{T}.}\end{matrix}}$
 19. The method of claim 18, wherein a cell of the basestation includes a plurality of sectors, and the storing includesselecting the part or all of vectors included in the [u₁ u₂ u₄ u₅ u₆ u₇u₈] depending on a predetermined number of feedback bits to store thepart or all of vectors included in the [u₁ u₂ u₄ u₅ u₆ u₇ u₈].
 20. Amethod for operating a base station, the method comprising: storing apart or all of vectors included in [u₂ u₅ u₁ u₈] or [u₅ u₁ u₈ u₄] as aMU-MIMO codebook; receiving feedback information transmitted in responseto a pilot signal; and pre-coding at least one data stream using thestored MU-MIMO codebook, wherein ${u_{1} = {\frac{1}{2}\begin{bmatrix}1 & 1 & 1 & 1\end{bmatrix}}^{T}},{u_{2} = {\frac{1}{2}\begin{bmatrix}1 & j & {- 1} & {- j}\end{bmatrix}}^{T}},{u_{4} = {\frac{1}{2}\begin{bmatrix}1 & {- j} & {- 1} & j\end{bmatrix}}^{T}},{u_{5} = {\frac{1}{2}\begin{bmatrix}1 & {\mathbb{e}}^{j\frac{\pi}{4}} & j & {\mathbb{e}}^{j\frac{3\pi}{4}}\end{bmatrix}}^{T}},{and}$ $u_{8} = {{\frac{1}{2}\begin{bmatrix}1 & {\mathbb{e}}^{{- j}\frac{\pi}{4}} & {- j} & {\mathbb{e}}^{j\frac{5\pi}{4}}\end{bmatrix}}^{T}.}$
 21. The method of claim 20, wherein a cell of thebase station includes a plurality of sectors, and the storing includesselecting the part or all of vectors included in the [u₂ u₅ u₁ u₈] or[u₅ u₁ u₈ u₄] depending on a predetermined number of feedback bits tostore the part or all of vectors included in the [u₂ u₅ u₁ u₈] or [u₅ u₁u₈ u₄].
 22. A method for operating a base station, the methodcomprising: storing a part or all of vectors included in [u₁₄ u₁₀ u₆ u₂u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u₄ u₁₅ u₁₁] or [u₁₀ u₆ u₂ u₁₃ u₉ u₅ u₁ u₁₆ u₁₂u₈ u₄ u₁₅ u₁₁ u₇] as a MU-MIMO codebook; receiving feedback informationtransmitted in response to a pilot signal; and pre-coding at least onedata stream using the stored MU-MIMO codebook, whereinu₁=[0.5 0.5 0.5 0.5] ^(T),u ₂=[0.5 0.5j−0.5−0.5j] ^(T),u ₄=[0.5−0.5j−0.5 0.5j] ^(T),u ₅=[0.5 0.4619+0.1913j 0.3536+0.3536j 0.1913+0.4619j] ^(T),u ₆=[0.5−0.1913+0.4619j−0.3536−0.3536j 0.4619−0.1913j] ^(T),u ₇=[0.5−0.4619−0.1913j 0.3536+0.3536j−0.1913−0.4619j] ^(T),u ₈=[0.5 0.1913−0.4619j−0.3536−0.3536j−0.4619+0.1913j] ^(T),u ₉=[0.5 0.3536+0.3536j 0.5j−0.3536+0.3536j] ^(T),u ₁₀=[0.5−0.3536+0.3536j−0.5j 0.3536+0.3536j] ^(T),u ₁₁=[0.5−0.3536−0.3536j 0.5j 0.3536−0.3536j] ^(T),u ₁₂=[0.5 0.3536−0.3536j−0.5j−0.3536−0.3536j] ^(T),u ₁₃=[0.5 0.1913+0.4619j−0.3536+0.3536j−0.4619−0.1913j] ^(T),u ₁₄=[0.5−0.4619+0.1913j 0.3536−0.3536j−0.1913+0.4619j] ^(T),u ₁₅=[0.5−0.1913−0.4619j−0.3536+0.3536j 0.4619+0.1913j] ^(T), andu ₁₆=[0.5 0.4619−0.1913j 0.3536−0.3536j 0.1913−0.4619j] ^(T).
 23. Themethod of claim 22, wherein a cell of the base station comprises aplurality of sectors, and the storing comprises selecting the part orall of the vectors included in [u₁₄ u₁₀ u₆ u₂ u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u₄u₁₅ u₁₁] or [u₁₀ u₆ u₂ u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u₄ u₁₅ u₁₁ u₇] dependingon a predetermined number of feedback bits to store the part or all ofthe vectors included in [u₁₄ u₁₀ u₆ u₂ u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u₄ u₁₅u₁₁] or [u₁₀ u₆ u₂ u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u₄ u₁₅ u₁₁ u₇].
 24. A methodfor operating a base station, the method comprising: storing a part orall of vectors included in [u₂ u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈] or [u₁₃ u₉ u₅ u₁u₁₆ u₁₂ u₈ u₄] as a MU-MIMO codebook; receiving feedback informationtransmitted in response to a pilot signal; and pre-coding at least onedata stream using the stored MU-MIMO codebook, whereinu₁=[0.5 0.5 0.5 0.5j] ^(T),u ₂=[0.5 0.5j−0.5−0.5j] ^(T),u ₄=[0.5−0.5j−0.5 0.5j] ^(T),u ₅=[0.5 0.4619+0.1913j 0.3536+0.3536j 0.1913+0.4619j] ^(T),u ₈=[0.5 0.1913−0.4619j−0.3536−0.3536j−0.4619+0.1913j] ^(T),u ₉=[0.5 0.3536+0.3536j 0.5j−0.3536+0.3536j] ^(T),u ₁₂=[0.5 0.3536−0.3536j−0.5j−0.3536−0.3536j] ^(T),u ₁₃=[0.5 0.1913+0.4619j−0.3536+0.3536j−0.4619−0.1913j] ^(T), andu ₁₆=[0.5 0.4619−0.1913j 0.3536−0.3536j 0.1913−0.4619j] ^(T).
 25. Themethod of claim 24, wherein a cell of the base station includes aplurality of sectors, and the storing includes selecting a part or allof vectors included in [u₂ u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ ] or [u₁₃ u₉ u⁵ u₁u₁₆ u₁₂ u₈ u₄] depending on a predetermined number of feedback bits tostore the part or all of the vectors included in the [u₂ u₁₃ u₉ u₅ u₁u₁₆ u₁₂ u₈] or [u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u⁴ ] .
 26. A method foroperating a terminal, the method comprising: storing a part or all ofvectors included in [u₁ u₂ u₄ u₅ u₆ u₇ u₈] as a MU-MIMO codebook;generating feedback information transmitted in response to a pilotsignal; and feeding-back, to a base station, information related with atleast one vector from among vectors included in the stored MU-MIMOcodebook, wherein ${u_{1} = {\frac{1}{2}\begin{matrix}\lbrack 1  & 1 & 1 &  1 \rbrack^{T}\end{matrix}}},{u_{2} = {\frac{1}{2}\begin{matrix}\lbrack 1  & j & {- 1} &  {- j} \rbrack^{T}\end{matrix}}},{u_{4} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {- j} & {- 1} & { j \rbrack^{T},}\end{matrix}}}$ $u_{5} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{j\frac{\pi}{4}} & j & { {\mathbb{e}}^{j\frac{3\;\pi}{4}} \rbrack^{T},}\end{matrix}}$ $u_{6} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{j\frac{3\pi}{4}} & {- j} & { {\mathbb{e}}^{j\frac{\;\pi}{4}} \rbrack^{T},}\end{matrix}}$ $u_{7} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{j\frac{5\pi}{4}} & j & { {\mathbb{e}}^{{- j}\frac{\pi}{4}} \rbrack^{T},}\end{matrix}}$ and $u_{8} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{{- j}\frac{\pi}{4}} & {- j} & { {\mathbb{e}}^{j\frac{5\pi}{4}} \rbrack^{T}.}\end{matrix}}$
 27. The method of claim 26, wherein a cell of the basestation includes a plurality of sectors, and the storing includesselecting the part or all of the vectors included in [u₁ u₂ u₄ u₅ u₆ u₇u₈] depending on a predetermined number of feedback bits to store thepart or all of the vectors included in [u₁ u₂ u₄ u₅ u₆ u₇ u₈ ].
 28. Amethod for operating a terminal, the method comprising: storing a partor all of vectors included in [u₂ u₅ u₁ u₈] or [u₅ u₁ u₈ u₄] as aMU-MIMO codebook; generating feedback information transmitted inresponse to a pilot signal; and feeding-back, to a base station,information related with at least one vector from among vectors includedin the stored MU-MIMO codebook, wherein${u_{1} = {\frac{1}{2}\begin{matrix}\lbrack 1  & 1 & 1 &  1 \rbrack^{T}\end{matrix}}},{u_{2} = {\frac{1}{2}\begin{matrix}\lbrack 1  & j & {- 1} &  {- j} \rbrack^{T}\end{matrix}}},{u_{4} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {- j} & {- 1} & { j \rbrack^{T},}\end{matrix}}}$ $u_{5} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{j\frac{\pi}{4}} & j & { {\mathbb{e}}^{j\frac{3\;\pi}{4}} \rbrack^{T},}\end{matrix}}$ and $u_{8} = {\frac{1}{2}\begin{matrix}\lbrack 1  & {\mathbb{e}}^{{- j}\frac{\pi}{4}} & {- j} & { {\mathbb{e}}^{j\frac{5\pi}{4}} \rbrack^{T}.}\end{matrix}}$
 29. The method of claim 28, wherein a cell of the basestation includes a plurality of sectors, and the storing includesselecting the part or all of the vectors included in the [u₂ u₅ u₁ u₈]or [u₅ u₁ u₈ u₄] depending on a predetermined number of feedback bits tostore the part or all of the vectors included in [u₂ u₅ u₁ u₈] or [u₅ u₁u₈ u₄].
 30. A method for operating a terminal, the method comprising:storing a part or all of vectors included in [u₁₄ u₁₀ u₆ u₂ u₁₃ u₉ u₅ u₁u₁₆ u₁₂ u₈ u₄ u₁₅ u₁₁] or [u₁₀ u₆ u₂ u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u₄ u₁₅ u₁₁u₇] as a MU-MIMO codebook; generating feedback information transmittedin response to a pilot signal; and feeding-back, to a base station,information related with at least one vector from among vectors includedin the stored MU-MIMO codebook, whereinu₁=[0.5 0.5 0.5 0.5]^(T),u ₂=[0.5 0.5j−0.5 0.5j] ^(T),u ₄=[0.5−0.5j−0.5 0.5j] ^(T),u ₅=[0.5 0.4619+0.1913j 0.3536+0.3536j 0.1913+0.4619j] ^(T),u ₇=[0.5−0.4619−0.1913j 0.3536+0.3536j−0.1913−0.4619j] ^(T),u ₈=[0.5 0.1913−0.4619j−0.3536−0.3536j−0.4619+0.1913j] ^(T),u ₉[0.5 0.3536+0.3536j 0.5j−0.3536+0.3536j] ^(T),u ₁₀[0.5−0.3536+0.3536j−0.5j 0.3536+0.3536j] ^(T),u ₁₁=[0.5−0.3536−0.3536j 0.5j 0.3536−0.3536j] ^(T),u ₁₂=[0.5 0.3536−0.3536j−0.5j−0.3536−0.3536j] ^(T),u ₁₃=[0.5 0.1913+0.4619j−0.3536+0.3536j−0.4619−0.1913j] ^(T),u ₁₄=[0.5−0.4619+0.1913j 0.3536−0.3536j−0.1913+0.4619j] ^(T),u ₁₅=[0.5 0.1913−0.4619j−0.3536+0.3536j 0.4619+0.1913j] ^(T), andu ₁₆=[0.5 0.4619−0.1913j 0.3536−0.3536j 0.1913−0.4619j] ^(T).
 31. Themethod of claim 30, wherein a cell of the base station comprises aplurality of sectors, and the storing comprises selecting the part orall of the vectors included in [u₁₄ u₁₀ u₆ u₂ u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u₄u₁₅ u₁₁] or [u₁₀ u₆ u₂ u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u₁₅ u₁₁ u₇] depending ona predetermined number of feedback bits to store the part or all of thevectors included in [u₄ u₁₀ u₆ u₂ u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u₄ u₁₅ u₁₁u₇].
 32. A method for operating a terminal, the method comprising:storing a part or all of vectors included in [u₂ u₁₃ u₉ u₅ u₁ u₁₆ u₁₂u₈] or [u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u₄] as a MI-MIMO codebook; generatingfeedback information transmitted in response to a pilot signal; andfeeding-back, to a base station, information related with at least onevector from among vectors included in the stored MU-MIMO codebook,whereinu₁=[0.5 0.5 0.5]^(T),u ₂=[0.5 0.5j−0. 5 0.5j] ^(T),u ₄=[0.5−0.5j−0.5 0.5j] ^(T),u ₅=[0.5 0.4619+0.1913j 0.3536+0.3536j 0.1913+0.4619j] ^(T),u ₈=[0.5 0.1913−0.4619j−0.3536−0.3536j−0.4619+0.1913j] ^(T),u ₉=[0.5 0.3536+0.3536j 0.5j−0.3536+0.3536] ^(T),u ₁₂=[0.5 0.3536−0.3536j−0.5j−0.3536−0.3536j] ^(T),u ₁₃=[0.5 0.1913+0.4619j−0.3536+0.3536j−0.4619−0.1913j] ^(T),u ₁₆=[0.5 0.4619−0.1913j 0.3536−0.3536j 0.1913−0.4619j] ^(T).
 33. Themethod of claim 32, wherein a cell of the base station comprises aplurality of sectors, and the storing comprises selecting the part orall of the vectors included in the [u₂ u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈] or [u₁₃u₉ u₅ u₁ u₁₆ u₁₂ u₈ u₄] depending on a predetermined number of feedbackbits to store the part or all of the vectors included in the [u₂ u₁₃ u₉u₅ u₁ u₁₆ u₁₂ u₈] or [u₁₃ u₉ u₅ u₁ u₁₆ u₁₂ u₈ u₄].
 34. Acomputer-readable recording medium storing a program for implementing amethod for designing a Multiple User Multiple Input Multiple Output(MU-MIMO) codebook, the method comprising: generating or receivingfeedback information transmitted in response to a pilot signal;analyzing beam patterns of candidate vectors included in a predeterminedcandidate codebook: and eliminating at least one of the candidatevectors based on the beam patterns of the candidate vectors to generatethe MU-MIMO codebook for a MU-MIMO system being comprised of theremaining vectors.